Consider the function \displaystyle f(x) = \frac { 2 x + 7 } { 6 x + 5 } .

For this function there are two important intervals:

Find

Find the horizontal asymptote of

Find the vertical asymptote of

For each of the following intervals, tell whether

Note that this function has no inflection points, but we can still consider its concavity.
For each of the following intervals, tell whether

Sketch the graph of

You can earn partial credit on this problem.